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Finding the Fourth Proportional to 11,972.52, 16,525.89 and 8,194.28

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Solution

The fourth proportional to 11,972.52, 16,525.89 and 8,194.28 is: 11,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.52 : 16,525.89 = 8,194.28 : x
  2. Step 2: Convert to fraction form
    11,972.52/16,525.89 = 8,194.28/x
  3. Step 3: Cross multiply
    11,972.52x = 16,525.89 × 8,194.28
  4. Step 4: Simplify right side
    11,972.52x = 135,417,687.28
  5. Step 5: Solve for x
    x = 135,417,687.28/11,972.52
  6. Step 6: Final answer
    x = 11,310.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.